GCD of 678, 804, 396, 276 Calculator

Given Input numbers are 678, 804, 396, 276

In the factoring method, we have to find the divisors of all numbers

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

GCD of numbers is the greatest common divisor

So, the GCD (678, 804, 396, 276) = 6.

Given numbers are 678, 804, 396, 276

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 276 are 2 x 2 x 3 x 23

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 678, 804, 396, 276 is 6.

Given numbers are 678, 804, 396, 276

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(678, 804) = 90852

GCD(678, 804) = ( 678 x 804 ) / 90852

= 678 / 804

= 678

Step2:

LCM(6, 396) = 396

GCD(6, 396) = ( 6 x 396 ) / 396

= 6 / 396

= 6

Step3:

LCM(6, 276) = 276

GCD(6, 276) = ( 6 x 276 ) / 276

= 6 / 276

= 6

So, Greatest Common Divisor of 678, 804, 396, 276 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 880, 496, 489, 677
• GCD of 797, 662, 758, 289
• GCD of 900, 446, 784, 881
• GCD of 935, 822, 285, 522
• GCD of 671, 972, 495, 773

Given numbers are 678, 804, 396, 276
The greatest common divisor of numbers 678, 804, 396, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 804, 396, 276 is 6.

1. What is the GCD of 678, 804, 396, 276?

GCD of given numbers 678, 804, 396, 276 is 6

2. How to calculate the greatest common divisor of 678, 804, 396, 276?

We can find the highest common divisor of 678, 804, 396, 276 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 678, 804, 396, 276 i.e 6.

3. How can I use the GCD of 678, 804, 396, 276Calculator?

Out the numbers 678, 804, 396, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.